# Core Mathematics WASSCE Questions(Part 1) – Solve Now

The 2023 WASSCE Core Mathematics paper will be written on Thursday, 14th September, 2023. All 2023 WASSCE candidates must solve the following likely core mathematics questions. These questions were set based on some analysis and patterns of how WAEC set their questions.

The questions were also set based on some confirmed topics from WAEC. Solve these questions as soon as possible. These questions will guide you and make you abreast of what you are to expect in the main exams

1. (a) Solve: 7x + 4 < (4x + 3)

(b) Salem, Sunday and Shaka shared a sum of ¢ 1,100.00. For every ¢2.00 that Salem gets, Sunday gets fifty kobo and for every ¢ 4.00 Sunday gets, Shaka gets ¢ 2.00. Find Shaka’s share.

### QUESTION TWO

(a) The angle of depression of a boat from the mid-point of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff.

(b) Towns P and Q are x km apart. Two motorists set out at the same time from P to Q at steady speeds of 60 km/h and 80 km/h. The faster motorist got to Q 30 minutes earlier than the other. Find the value of x.

### QUESTION THREE

(a) A boy 1.2 m tall, stands 6 m away from the foot of a vertical lamp pole 4.2 m long. If the lamp is at the tip of the pole, represent this information in a diagram.

(b) Calculate the:

(i) length of the shadow of the boy cast by the lamp;

(ii) angle of elevation of the lamp from the boy, correct to the nearest degree.

### QUESTION FOUR

(a) The present ages of a father and his son are in the ratio 10 : 3. If the son is 15 years old now, in how many years will the ratio of their ages be 2 : 1?

(b) The arithmetic mean of x, y and z is 6 while that of x, y, z, t, u, v and w is 9. Calculate the arithmetic mean of t, u, v and w.

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